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Finding the Third Proportional to 456,409.69 and 976,138.59

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Solution

The third proportional to 456,409.69 and 976,138.59 is: 2,087,700.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,409.69 : 976,138.59 = 976,138.59 : x
  2. Step 2: Convert to fraction form
    456,409.69/976,138.59 = 976,138.59/x
  3. Step 3: Cross multiply
    456,409.69x = 976,138.59 × 976,138.59
  4. Step 4: Simplify right side
    456,409.69x = 952,846,554,208.23
  5. Step 5: Solve for x
    x = 952,846,554,208.23/456,409.69
  6. Step 6: Final answer
    x = 2,087,700.11

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.